Least Common Multiple (LCM) of 69 and 149
The least common multiple (LCM) of 69 and 149 is 10281.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 69 and 149?
First, calculate the GCD of 69 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 69 ÷ 149 = 0 remainder 69 |
| 2 | 149 ÷ 69 = 2 remainder 11 |
| 3 | 69 ÷ 11 = 6 remainder 3 |
| 4 | 11 ÷ 3 = 3 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 159 and 180 | 9540 |
| 30 and 57 | 570 |
| 197 and 35 | 6895 |
| 132 and 176 | 528 |
| 104 and 84 | 2184 |